Well Stephen - all the information to determine the year of your tractor can be found in documents on the Forum but you have to search the FAQ's, etc., as Marty suggested. But to help you out here are some details.
To start with you have to decipher the entire serial number "2050660U566692" to understand it. The first 3 digits are the IH "Kind Code" and yours are 205 which indicates "Cub Cadet" Garden Tractor. The next 4 digits are the "Machine Code" and yours are 0660 which identifies it as a model 1450. The letter "U" indicates the tractor was Made in the U.S.A. All the digits after the letter U are sequential running numbers of all Cub Cadets built (meaning your tractor is the 566,692 built). According to the monthly production chart your tractor was built during the month of Oct. 1975 (when Cub Cadet serial numbers 565,627 thru 568,450 were built).
Now, to determine when your Engine was built I had to refer to an actual Kohler K Series Service Manual since the IH Engine Service Manual does not include the details about when engines were built, etc. Based on your engine Serial No. 2511716003 and my Kohler Service Manual your engine was manufactured in 1995 (which is 20 years after the tractor was built). I'm guessing it's a complete replacement engine (as opposed to a short block) based on the appearance of the tag that has the 14hp in the black oval. The original engines had this tag but it was centered on the top of the shroud (and yours is slightly off to the right side). Also, the original engines had the other tag with the Model, Spec and Serial number, on the left side of the shroud (as I indicated in an earlier message). If your engine was just replaced with a short block I believe you'd still have the original Model, Spec and Serial number tag on the left side of the shroud. Let us know if you still have a tag on the left side of the shroud, and post a pic as well, but I doubt you do.
Hope this info fills you in a little more about what you have - which is a tractor with an engine 20 years newer than most of the guys with 1450's have. These Kohler K Series engines when NLA from Kohler a long long time ago, so it's nice you got one.
Couple other things I noticed in your pics. Your fiberglass dash seems to be broken away around the area of the hood support (maybe you already noticed that). It's a fairly easy fiberglass repair and you'd want to do this before you do your painting. Also, I didn't see the 2 piece tin (steel) muffler box for your engine. You have the aluminum or white metal "duct" right behind the muffler where it attaches but are missing the 2 muffler box pieces. This "duct" is an expensive part and is often cracked. I'd suggest investigating and adding the "Muffler Crutch" you can get from Kirk Engines, Inc. (which is one of the colorful boxes at the top of this page) and also linked here
Kirk Engines, Inc. >> Garden Tractor Performance Parts
If you want more help with details on your tractor I'd suggest posting some additional close up pics of various sections. Also, you should study pics and other details in the FAQ section on here, as well as the Service Manual and Operator Manuals, and also look at pics in the parts diagrams of the CCC web site for replacement parts (all of which are in Forum links). If you have trouble finding just note it in a post and someone will help you out.