Can I wire my pool motor with an extension cord?
No.
Will replacing my electrical panel make my breakers stop tripping?
No, you still need to run dedicated circuits to the locations that are overdrawing your home. If it is older than 25 years old, it was likely wired before appliances that require significant power.
What in my home protects me from getting shocked?
Arc fault and ground fault circuit breakers, which aren’t in older circuit panels. Another reason why you should upgrade your electrical panel – to protect you from fire or shock.