A broken temporary is a reason to call your dentist. Furthermore, if your tooth remains painful when chewing you should absolutely call your dentist to be evaluated. It's noteworthy that if the additional anesthetic used during the procedure was necessary due to discomfort, this may be a sign that the tooth needs a root canal. Don't delay---call your dentist.
Without seeing an x-ray it's nearly impossible to provide you with a credible answer. Many factors affect the decision of which treatment modality would give the tooth the best opportunity for success or if it's best extracted. Please see if you can post a copy of the recent x-ray. Thanks!!
Porcelain veneers are an excellent option for correcting discolored teeth that are otherwise healthy. It's important to note, however, once you have veneers it's often the case that you will always need them---meaning if one gets damaged or comes off you'll need to replace it. It's something to consider since porcelain veneers are not inexpensive.
Before committing to gum surgery I'd suggest you explore the option of using Botox to cosmetically drop your lip line. Many dentists are well trained in this area and it's a much less invasive treatment for a gummy smile. Good luck!!
It's worth having the dentist re-evaluate your tooth at this point. Although it may feel fine when your teeth are in the closed position the bite could still need adjusting. The dentist will have you move and grind your teeth together to see if the bite is correct. There are other reasons your tooth may still be sensitive and your dentist should be made aware that you're still uncomfortable. It's uncommon, at this point, to have the "dull pain" you're describing. Best to call your dentist.