I had a job yesterday. I enjoyed talking a lot with the employees there. I don't have any work today, so I will go out. Either you have a part-time job or you don't have one. You can't have one "yesterday" unless you were fired from that part-time job.

I had part-time job yesterday. I enjoyed talking a lot with the employees. I don't have a part-time job today, so I will go out. I had a part-time job yesterday = I had a job that was only ONE DAY and it was for part of the day I worked part time yesterday. - I have a (part-time) job and yesterday I worked less than 6 hours. I enjoyed talking a lot with the employees. -- we we use a different syntax English sentence order: subject - verb - object - place - manner - time so "a lot" would go AFTER "the employees" I enjoyed talking with the employees a lot. better, but "a lot" is nota great choice here. This is what I would write (this is what people SAY (spoken English): I really enjoyed talking with the employees. We would use: 'really" I really like x. I really like cookies. I really like to x or v+ing. I really like to read/ I really like reading.