Question: Is there a difference between "may" and "mayroon/me

May is the default. Meron is mostly used answering may/wala questions. Meron is also used if you for some reason feel the need to put the subject noun right by the verb.

@akosikoneho
ah, thanks for the info, really appreciated!

@ailurophile
@akosikoneho has good info.
In the TLDC Corpus you can also see that "may" is used roughly 8x more frequently there than mayroon/meron.

@ailurophile
Here are some examples where to use May/Me, Mayroon/Meron. Me is the shorter version of May and Meron is the shorter version Mayroon. Mayroon and May are used formally and Meron and Me are more informal and conversational.Mayroon tayong pasok bukas.
Meron tayong pasok bukas.May pasok tayo bukas.
Me pasok tayo bukas.Notice the gerund pasok comes after the May/Me on the second pair.
and the pronoun tayo(ng) comes after the Mayroon/Meron on the first pair.