Condesor pump and fan

You need to check the motor amp draw against the spec tag on the motor. If the motor has power to the motor wires it's either the motor or the run capacitor.

Sounds like a bad motor. I don't know if your blower motor has an external starting capacitor and / or a running capacitor. If There is a starting capacitor and it's faulty , that would prevent the motor starting and turning.

sounds like compressor is running but fan is not. it could be capacitor but it could also be the fan motor

IT SOUNDS LIKE YOU HAVE A BAD MOTOR OR CAPACITOR.

Tom P's answer is generally correct: The motor start capacitor is usually not the problem. However, in some cases, particularly on older furnaces, where there were capacitors of certain make and production run will prematurely fail. This happened in March on a mobile home HVAC unit where both the blower fan and condenser fan motor capacitors failed open circuit. Both caps were of the same Mfg, and production lot.
Here is a suggestion (for you or an electrically inclined friend): Locate a substitute motor capacitor having similar Mfd (or MF) and Voltage ratings. Remove power from the unit. Reach into the blower squirrel cage and spin it to verify that the shaft is not frozen. Pull the wires from the existing capacitor noting color and location. Connect the wires to the substitute capacitor and secure it place. Apply power and turn on the blower. A no start? Motor replacement time.

Yes. If the high limit is tripped, the furnace will bring on the fan continuously until the limit resets. Often, they will not reset if tripped repeatedly. If the furnace is too large for your application, you probably are not able to move enough air to keep the heat exchanger cool enough.

sounds like the relay for the unit may be bad, usually if a blower motor goes it stops or has a very loud humm and only goes slow

check for bound motor

You should have a fan relay on your furnace that would control your fan in air conditioning and that sounds like you are needing

does the furnace ignite?? your system may not have been lighting and has gone into ignition lockout count the codes of the led lights then remove panel led diagnostic codes are listed there.
if led codes indicate no problem verify capacitor is good and that mtr is getting 115 volts.