No, changing the battery has no effect on how hot or cold the engine runs. The battery has one purpose and that is to store electricity that is used to start the engine and run the electronics on the vehicle. The alternator keeps the battery fully charged.
how can i solve the problem
check your thermostat first
No fan-electrical Fan/no cold-check refrigerant. Refrigerant ok, check compressor.
Freon is too low, or too high.
look for antifreeze coming out of the radiator as the engine warms up after a cold start.
Sure if it fits within the space provided and the positive and negative posts are arranged correctly. The only differences in 12 volt batteries is size, reserve power, polarity of the posts, and cold cranking amps. actually its doubtful lets put it in simple terms. a car battery to a truck battery is like a AAA battery to a D Battery they have the same amount of volts but a 400amp 12volt wont start a truck
Anywhere from 525 to 750 is good when buying a new battery. The more the better.
Inspect all the vacuum lines, you may have one cracked and you are loosing vacuum to operate the HVAC system.
Usually the battery is weakening. When the weather is cold the battery has less reserve power and when it is warm it doesn't require so much cold cranking power. Usually the battery is weakening. When the weather is cold the battery has less reserve power and when it is warm it doesn't require so much cold cranking power.
Most likely your alternator is starting to go bad, or your battery is starting to lose its charge in tge cold, which means its probably time to replace it.
Dissconnect the battery for 1 hour and reconnect, should re-set the flaps!
A duralast gold from walmart,640 cold cranking amps(800 cranking amps)