I need some advice on the best option to continue my LLC?

First of all, you cannot dissolve it if there are unfiled tax returns and/or unpaid taxes. Second, there could be an issue if you open another LLC...

You definitely need a Tax attorney, I would not handle this case by myself if I were you. As to the fees, just work something out. Good luck!

Can i sue my fathers cpa that filed his taxes?

No. Just file your own taxes and be ready to explain to the IRS what happened. Good luck.

Can I receive business income on R2 visa without drawing any salary from my business? Also am I eligible for tax id to invest?

You need to consult a lawyer so he/she can structure your investment entity that is compliant with tax laws and not violate your immigration...

Can I trade stock options (Calls and puts) while under h1b?

Not quite since most likely this is just a passive activity to you.

Appliances depreciation for rental house in tax return

Talk to a qualified professional, you might be better off doing a Section 179 expense.

For green card based on Eb-3, how is it likely that financial ability is examined after I-140 is approved??

I'll reclassify this to Immigration law.

American Expat Failed to Fill Overseas Foreign Income Tax Exclusion

Consult a tax attorney and bring your filed tax returns and other necessary documents. You may need to file an amended return with/without FBARs...

Employment litigation settlement

Consult an experienced Tax attorney, some recoveries are taxable and some are not.

Hire an attorney if I were you so you'd know your options. In the meantime, I highly suggests to not default in paying the property taxes. Good luck!