Are these correct? What do they mean?

1. I was wondering if you want to go tonight. (How come I can use the present tense verb 'want' here? Or is this incorrect here? I hear people say this all the time though.)
2. I was wondering if you wanted to go tonight.

3. I though you are okay. (If #1 is correct, why isn't #3 correct as well?)

Hello Jack112

I'm a learner from Japan. Don't you mind if I throw my two cents worth?

As far as I learned in school, (1)"I wonder if X", (2)"I am wondering if X", (3)"I wondered if X" and (4) "I was wondering if X" are often used as special phrases to ask someone something. They are different in the degree of the politeness in asking;(1) is lowest in the politeness and (4) is highest.

The phrases is unusual in that the verb in X can be independent in the tense relation from the main verbal: wonder, am wondering, wondered, was wondering.
I am wondering if you saw him yesterday. -> "Did you see him yesterday?"
I was wondering if you saw him yesterday. -> "Did you see him yesterday?"
I am wondering if you like to play with us. -> "Do you like to play with us?"
I was wondering if you like to play with us. -> "Do you like to play with us?"

But you should remind these phrases are exceptional. For usual complex sentences, you have to keep the rule that; the tense of the main verb governs the tense of the verb in the subordinate clause. So you cannot say "I thought someone is OK" except in the situation you can believe 'someone's being OK' is permanently true.

I hope any moderator would check my mistakes (if any) and give you better answers.

paco