there are several possible causes. first, check the oil level. if it is low then the engine can't cool properly. second, ensure that the flywheel fins aren't broken or plugged up with grass. third, if 1 and 2 are ok run it till it dies and check for spark with a spark tester. if there is no spark the coil is bad
Considering that it is probably a motorized one. Yes. Anything that has an engine can more then likely get hot.
If its a new mower take it back to where you bought for warranty If you mess with it you will forfeit your warranty.
Bypass the switch with a jumper & see if you can bump it with a hot wire.
If you have to run it with the choke after it has warmed up, you need to disassemble the carb for cleaning.
In hot weather it would (or should) not be a problem. 30wt and 10W30 are generally the rule.
In cooler temperatures it's ok, but in hot weather run a thicker oil.
A sheared flywheel key (advanced timing) will often cause a red hot muffler. This happens when the mower blade hits a stump, rock, etc.
did you check and make sure you have plenty of oil. or maybe your lawn mower just needs a break.
Just make sure the engine is not running and pour in the fuel. If the engine is hot let it cool before refueling.
Sounds like a ignion coil.
There may be a number of issues with the lawn mower. The motor may need oil or gas. The intake filter may be too dirty, clean it up then put it back in when it is dry. The blades might not be able to spin around, maybe something is obstructing them, causing the machine to not turn over the engine / motor.
Three things come to mind: 1) The cooling fins that keep the engine cool are blocked by debris and letting the mower run hot. 2) The coil is getting hot and breaking down causing it to not get spark to the engine. 3) There might be an exhaus leak near the carb causing the gas to vapor lock.