There are things like, the compressor will be too hot to touch, or it will short cycle repeatedly, like only run for as few seconds before kicking out on the overload, or it will get noticeably louder when it cycles on, or the relay will short out.....
These machines are very simple systems where not much can go wrong, so if its running and the compressor isn't too hot to touch, warm is ok, sounds normal, your probably ok.
I guess i should ask, did you just put a collar or tower on it or did you go the full blown Jester route with a cabinet? I assume that since its in the garage you just put a collar or tower on it.
The reason for asking is two fold.
First that condenser in most chest freezers is part of the cabinet, which is why guys who put them in cabinets run fans in the cabinet to keep them cool. So if there isn't sufficient cooling on the outside you wont get sufficient cooling inside.
Second, are you certain that you didn't damage a coolant line during conversion? A pin hole leak could take time to bleed off the refrigerant in the system and if you have a line leak, well your back to square one, replace the unit.
Sorry for the rambling reply but i just want to be thorough.