many vs much.

when and where to use many or much ?

  1. We say ‘many thanks to you’ but ‘thank you very much’ is also correct.
  2. Is is correct to say busy much?

It is not correct to use ‘much’ or ‘many’ with ‘busy’. You might say
Are you very busy?

Reading through these previous discussions should help you:
english-test.net/forum/ftopic5606.html
english-test.net/forum/ftopic14078.html
english-test.net/forum/ftopic1250.html
english-test.net/forum/ftopic6673.html

why using much with busy, a verb, is incorrect and it goes fine with thank you.

It’s not enough to just consider the classifgication of the word. There are many other aspects to consider.