I wouldn't file ahead of time.
I would think positive, and help to keep it from not closing. (Thoughts are power)
I'm not an attorney, but from the sounds of your question, the "package offered by your company" appears to be in lieu of unemployment benefits (chargeable to the company), in return for some type of remuneration payable to you. They could also be downsizing, etc. and to be fair to you, allow you to file, unchallenged, for unemployment. It would seem prudent to check with the unemployment office in regard to the agreement you have, to determine where you stand.
If you left employment with "good cause, through no fault of your own" you would be entitled to unemployment compensation. See Related Link below, under "Disqualification".
Because your company does not exist anymore, your leaving should be considered for good and reasonable cause so it should not prevent your eligibility for unemployment.
No.
Generally not, if the employer can prove their case with the investigator from the state unemployment office.
not necessarily
In some cases, yes. Many states permit workers to collect unemployment if they quit for "due cause." An extreme change in working conditions, duties, hours or pay would normally be considered "due cause." The company may also be required to make reasonable accommodations for your physical limitations under the Americans with Disabilities Act.
I'd go ahead and send it in and see what the company says.
Yes
Yes. If you have good cause, as described in the Related Link below, you can be eligible for unemployment benefits in the state of Texas.
Yes, if they have cause, the issuer of the unemployment check may stop or cancel checks.
No unemployment payments will be made on State and banking holidays.