You are going to find you are going to need to extend the hitch on the rear of the 1025r to have any reasonable turning radiius with the cart. The heavy hitch receiver will bolt up under the rear when you remove the rear "hitch" plate that comes on the 1 series. But even with that, you will be happier if you extend the hitch point back on the hitch by inserting one of these.
www.harborfreight.com
Then just mount a regular 2" hitch receiver ball mount which the cart will attach to. You can also use the ball mount to mount a hitch ball on to move trailers. Without the extension, the tongue of the cart will be so close to the rear tires on the 1 series because the hitch is tucked so far up under the tractor. Easy to fix and it makes towing the cart and backing a trailer "normal" by getting the actual hitch point away from the rear tires of the tractor.
Just make sure when you purchase a 2" ball mount, that the cart tongue will slide over the end of the ball mount so you can pin the cart to it. Measure the opening on your carts hitch where it pins to the draw bar to make sure the ball mount is narrow enough to fit in the cart hitch. When you see the pieces, you will know what I am talking about.
If you don't use the extension on the hitch receiver, the tongue of the cart hitch and the cart itself will run into the rear tires on the tractor with even modest turns. The factory plate hitch which is on the 1 series is useful for only pinning a clevis to for hooking a tow strap, etc. because its so far up under the tractor.
Definitely get the I Match as the heavier the 3 point item, the more critical it is to align it for hitching. With the I Match, you can hook up anything easily and it you need to, you can push the 3 point item with the IMatch to get it aligned. Otherwise you are wrestling with a 600 pound piece of concrete less than 2' square, which is very concentrated weight in a small area.
I also suggest you consider a rear 3ph carry all using the carry all frames. I use my rear carry all which I built to haul my rear ballast and its handy to be able to also carry other items you need, like tools, rakes and shovels, straps and chains and all of the other stuff you will find yourself using.
Here are some threads on building a rear carry all yourself.
www.greentractortalk.com
One last point, your x758 had all wheel drive, which was hydraulic and engaged automatically. The 1 series is a true 4wd system and you are likely going to have problems turning tight with the 4wd engaged and not tearing up the turf, etc. Just be prepared for a learning curve on using the 1 series 4wd system, compared to the x758. You never had to give the x758 a thought and it just engaged the traction needed for the task it was handling. That's not the case with the 1 series. You will NOT want to run the 1 series in 4wd on the pavement, especially when the pavement is dry.
Also, from a safety standpoint, if you are carrying loads on the FEL of the 1 series, when the tractor isn't in 4wd, you can find the rear brakes won't stop the tractor if the load has made the rear end of the tractor light. Going up and down hills carry a load, make sure to put the 1 series in 4wd so you can control the tractor. You never had this issue with the x758 and its important you are aware of this difference because it will impact how you mow with your new machine.
I have thrown a lot at you here, hopefully, I have made it clear. If not, don't hesitate to ask questions.

Class III 18 in. x 2 in. Standard Receiver Tube
Amazing deals on this Class Iii 18In X 2In Standard Receiver Tube at Harbor Freight. Quality tools & low prices.
Then just mount a regular 2" hitch receiver ball mount which the cart will attach to. You can also use the ball mount to mount a hitch ball on to move trailers. Without the extension, the tongue of the cart will be so close to the rear tires on the 1 series because the hitch is tucked so far up under the tractor. Easy to fix and it makes towing the cart and backing a trailer "normal" by getting the actual hitch point away from the rear tires of the tractor.
Just make sure when you purchase a 2" ball mount, that the cart tongue will slide over the end of the ball mount so you can pin the cart to it. Measure the opening on your carts hitch where it pins to the draw bar to make sure the ball mount is narrow enough to fit in the cart hitch. When you see the pieces, you will know what I am talking about.
If you don't use the extension on the hitch receiver, the tongue of the cart hitch and the cart itself will run into the rear tires on the tractor with even modest turns. The factory plate hitch which is on the 1 series is useful for only pinning a clevis to for hooking a tow strap, etc. because its so far up under the tractor.
Definitely get the I Match as the heavier the 3 point item, the more critical it is to align it for hitching. With the I Match, you can hook up anything easily and it you need to, you can push the 3 point item with the IMatch to get it aligned. Otherwise you are wrestling with a 600 pound piece of concrete less than 2' square, which is very concentrated weight in a small area.
I also suggest you consider a rear 3ph carry all using the carry all frames. I use my rear carry all which I built to haul my rear ballast and its handy to be able to also carry other items you need, like tools, rakes and shovels, straps and chains and all of the other stuff you will find yourself using.
Here are some threads on building a rear carry all yourself.
Rear 3 Point Carry All's, What are you using?
I have a rear 3 point carry all which I made from a pre made frame I bought at the Farm Store. Without a doubt, the 3ph carry all is an extremely valuable tool for making your tractor as useful and handy in various projects. I have learned a lot using my carry all and I realize I made some...
One last point, your x758 had all wheel drive, which was hydraulic and engaged automatically. The 1 series is a true 4wd system and you are likely going to have problems turning tight with the 4wd engaged and not tearing up the turf, etc. Just be prepared for a learning curve on using the 1 series 4wd system, compared to the x758. You never had to give the x758 a thought and it just engaged the traction needed for the task it was handling. That's not the case with the 1 series. You will NOT want to run the 1 series in 4wd on the pavement, especially when the pavement is dry.
Also, from a safety standpoint, if you are carrying loads on the FEL of the 1 series, when the tractor isn't in 4wd, you can find the rear brakes won't stop the tractor if the load has made the rear end of the tractor light. Going up and down hills carry a load, make sure to put the 1 series in 4wd so you can control the tractor. You never had this issue with the x758 and its important you are aware of this difference because it will impact how you mow with your new machine.
I have thrown a lot at you here, hopefully, I have made it clear. If not, don't hesitate to ask questions.