no providing it is cooked properly
Cooked lobster can remain at room temperature for up to 24 hours before significant bacterial growth occurs. Average fungal growth requires much longer periods of time before having any effect on humans. Lobster meat remains safe to eat for longer periods of time than other seafoods due to the unique chemical composition of lobster tissue.
Yes it would be best if you did so you do not get ice crystals inside your lobster
The thing if cooked frozen is that thing you cooked frozen.
After being defrosted, frozen foods must be cooked before being re-frozen.
NO
Yes, if it wasn't already frozen and thawed.
Forever. Seriously, though, if you are asking about eating a lobster that has died, they start to deteriorate rapidly after death. Unfortunately, there are seafood companies that will sell lobsters (cooked and/or frozen) that died in their tanks - and you have no idea of how long they sat around before being processed. I believe they are called "stills". Lobsters are best if they are live until right before cooking.
Food which has been cooked can be frozen, even if it was frozen prior to cooking. BUT Frozen food which has been thawed, but not cooked, should never be re-frozen. Nor should food which was cooked, frozen and thawed.
frozen pizza is a normal pizza, frozen before it is cooked so you can eat it fresh whenever you want to.
You should defrost it in a refrigerator, if possible. If you boil it when it's still frozen, you risk having a rubbery lobster. If you boil it, keep it in the shell and plunge into boiling water for just a couple of minutes. If you broil it, crack it after defrosting and remove the lobster meat. Broil it for just a couple of minutes to get color. Since it's already cooked, you just want to make it "fresh" by heating very quickly. Cooked lobster tail will curl and shrink if you re-heat it too long. You can also serve it cold after defrosting. With pre-cooked lobster, this would probably be your best bet.
Yes, but I would use it (after thawing of course) within one month for quality.
Yes it can be frozen but should always be defrosted thoroughly before cooking.