Immigration hold? HELP?

The situation will not be resolved by posting on this sight. Seek counsel from an experienced immigration attorney.

Can someone rent for me an apartment?

Yes. Based on the information provided - or lack of information.

Are you presently or have you EVER been in removal, exclusion, rescission, or deportation proceedings?

Answer YES and submit documentation. I suggesst you consult with an experienced immigration attorney.

I pass my citizenships interview about 4 months Still waiting for oath ceremony. Please help?

It has been to long. Make an info pass or send a certified letter to the officer in charge at the local office.

Ds 160

There are seperate places for you to provide both. If clarification is need do so on the final page.

Is it mandatory to include sponsor's SSN (if available) in form I-134 for Diversity Visa lottery interview?

The intending immigrant must provide all information requested or risk a denial. As the sponsor if you do not provide the information requested the...

No. If there was a problem you would not have been issued the card.

Freelancer for what? In general; when adjusting through a USC spouse you are forgiven for employment without authorization.

Can I send an invitation for my girlfriend as a green card holder ?

Invitation for what? Are you saying your girlfriend will apply for a visa, or, you want to sponsor her on a fiance visa? For a visitor visa your...

Is it likely I will be granted another tourist visa?

You can always apply. The question is whether the visa will be granted. In general a visa may not be granted if you have overstayed or violated the...