No pets are not allowed in this park as the same for many other parks Round Bangkok.

Havent seen around the area particulary but Im sure there are lots in Thailand markets.

The park was only there during tne one year mourning and is no longer.

I think pets are not allowed here. You may check their website and call them to reconfirm on phone

No fee. Even parking is free. If you use the restroom it’s a few bahts (I think it’s three bahts)

Yes there as an fee, at least there was when we went there a few months ago. It was something about 10THB , that's less than 50 cents US, so basically you can count it as a free entrance. Enjoy your trip and the garden, it really is something beautiful and a great spot to relax after busy Bangkok streets.

You will not find too much shady places (but there are). We did not experience mosquito's. There is a nice playground where a 3 year old can play. The park is big, perhaps too big for a 3 year old to walk.

They close at 7pm. When there is a fair or festival much later.

Parking is compicated. As often the best choice is to take a taxi or tuktuk, quick efficient and most affordable

It depends on where your hotel is located. I the skytrain will take you part of the way but then you will need to take a taxi to the park.