Sounds like pre-ignition or "pinging", meaning the timing may be over-advanced. If it's an older, carburetta model, it may help to use an octane boost additive in the fuel, because older carby engines tend to ping on unleaded fuel. Another possiblity could be a cracked flex plate (flywheel) only if it is an automatic transmission.
loose exhaust
You may have an exhaust leak very close to the engine.
Blue smoke is caused by engine oil being burnt by the engine.
It can be a hole in your exhaust system or it can have something to do with your engine.
White smoke out the exhaust is definitely a sign of a cracked cylinder head or a blown head gasket, possibly even a cracked engine block. Not something to be driving around with, as more damage can occur from overheating the engine. Also the engine could stop running and strand you someplace you may not want to be stranded in.
The loud tapping sound can be caused by a complete heating of the engine. Worn tappets can also cause the tapping sound.
inboard gas engine exhaust
Possibly. What an exhaust leak will do is KILL you. Either from the Carbon Monoxide you inhale while driving or the wreck you are going to have when it puts you to sleep. Get the exhaust leak fixed ASAP.
Not to worry it is the valves in the engine tapping because there is not enough oil pressure yet for the fluid lifters to take up the slack in the valve train, that is why it goes away after a few minutes and also why you should always let your engine warm up before driving. a rod nock
If you nicked the oil pan it could cause it to smoke from engine area. Is the smoke coming from the exhaust or engine bay? If exhaust, then I highly doubt it was caused by the curb incident.
Check operation of exhaust "heat riser" valve. Also check exhaust header gasket for leaks. Heat riser should be near the exhaust header, in exhaust pipe connection.
exhaust pipe connects to the exhaust manifold, which connects to the main engine.