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In answer to the lights question...
My opinion is, that using the light is a waste. When lobster hunting you need to sneak up on the lobster and stick your head into the hole and grab the lobster. You can see the lobster with your eyes and do not need the light. You want to be able to move quick and either grab the lobster or move on. You do not want to waste time fiddling with your light. I can pretty much guarantee, if you lobster dive as much as I and my buddies do, if you use a light you will just lose it and not buy another one anyway(at least not for lobster diving). I will catch a lot more lobsters than the guy wasting his time shining his light all over the place. also, anytime you use the light you have to dig it out using at least one hand to shine the light and then put it away. Way too much hassle when trying to catch lobster.
There are different types of divers, the ones with gear all over the place and the ones that catch lobster. The ones that catch lobster are usually minimilistic in their gear set up. Anything that does not help catch lobster is a waste.
size in MA - if in the gulf of Maine (inside Cape Cod) no bigger that 5" from back of eye socket to end of carapace - that's likely 2.5#. Outside gulf, i think no limit(never dive there, so I don't memorize it. Also - can't take shorts (under 3.25"), egg bearing females, or previously marked egg bearing females...