Does hotel includes free parking

Most likely not however, you can park outside the hotel.

No. Valet parking is $20, self parking is $10

Its absolutely not free parking I think I paid $30

The hotel does not offer free parking. If you park on the street, you must feed parking meters

No. It was ~$42 for valet as of 11/18/17

I just stayed there a few weeks ago...valet is $40+, but includes in/out. There's a garage across Columbia Street from hotel that is $25 overnight, but no in/out. There are other lots around, but some may not allow overnight parking.

Valet parking is 42 bucks. No self parking option. However other parking lots close by you can self park and also park for MUCH cheaper.

Depending on when you go, the price for valet parking changes, but I believe self parking is $10 either way. However, if you leave the self parking lot, you have to pay another $10 to get back in. It is not a one time fee for the whole night.

Valet is 42 and self parking is 24