What can be done to fix my 2002 Rodeo that will only start in Neutral> Also has gasoline smell sometimes when I am driving and I don't overfill the tank.

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Hope this helps

Could be anything. Bad gas cap, evaporation canister bad, bad hose, engine running rich etc. No way to give you an accurate diagnosis simply too many possibilities.

If it's an automatic then the shifter is not going all the way into park to activate the neutral safety switch ( miss adjusted or worn bushing most likely) or possibly a bad safety switch.

A strong odor of gasoline is sometimes caused by a failed coolant temperature sensor. If this is your problem the car will be slow to start the first time, turn it off and it will start right up.

which engine?
we can not guess engines, here, not ever.
here is the line up, huge. huh?

• 2.2 L X22XE I4 (gasoline)
• 2.2 L Z22XE I4 (gasoline)
• 2.2 L X22DTH I4 (diesel)
• 3.2 L 6VD1 V6 (gasoline)
• 3.5 L 6VE1W V6 (gasoline)

if in the USA< are you? the www is big the world is big.
and open hood ,and look up see EPA sticker,
it has ENGINE type stated there clearly, that is 1st.

I had this problem with my minivan as well. The gas line had become old and started to corrode. It only smelled like gas when we started the engine, something to do with the pressure in the lines I believe. Was a fairly cheap fix (under $100), just a piece of plastic hose. Most of the expense was the labour.Have a mechanic check it out.

You should check it in Park while the engine is running, the burnt smell might be from the excess oil (if overfilled) burning off.

The charcoal filter is used to filter fumes from the fuel tank. There is a vent line, that comes from your fuel tank to this filter. (Charcoal canister)

Now since the charcoal filter has been completely soaked with gasoline, it will no longer function as it should. Even with vapors from the fuel tank vent line, the canister only has a working 'life' of so far.
You will smell gasoline in strong amounts until it is replaced.

Can't comment whether it is safe or not. (In my thinking, you are driving around with a charcoal canister, that has a charcoal filter soaked with gasoline. I wouldn't use it this way, but that is just my thoughts)

Check your return fuel line for and leaks. Good luck