Not sure best thing to do is check number on the old battery and cross reference it.Sorry I couldn’t answer .
I check with my manufacturer on my lift master and it said that the camberlain was compatible
That is not a question that I can answer. But in my opinion, probably not because my experience with Craftsman is they do their own thing and have parts specifically made for them that aren't interchangeable with other vendors.
It has the two different size terminals
No, it's a replacement for the original Chamberlain battery.
Yes, do come with one battery.
No, there is no core charge.
I've seen only one size, one size fits all I guess. I do know battery basics, as long as the Volts are the same, amps are at least the same (can be higher), and the dimensions are close enough to fit in the opener housing, you're golden.
Work and feet properly in my garage door opener