In some States, resigning is considered voluntarily giving up your job and you cannot claim unemployment. Cumberland Farms stores used to like to pull a little trick to get rid of folks without having to pay unemployment. They would cut the persons hours down until they were working like one hour a day or every other day and would eventually quit.
You do have the option to dispute your unemployment claim, which will then require an Arbitrator from the government to pop in. Since you quit, he will probably deny your claim, stating that you could have kept your job and looked for gainful employment or taken another, part time job.
A courier company, Airborne Express has a nasty little thing going for it. In the South, they hire subcontractors, who hire the drivers. If they get pissed at you, they tell the subcontractor to fire you. If he disagrees and does not, they will do one of two things: Pull his contract with a 30 day warning and fire him and everyone who works for him or state that you cannot handle any company freight nor be on any company property.
When that happens, since Airborne leases the station property for the subcontractor, he has no option but to let you go.
Now, if you file for unemployment, the subcontractor does not have to pay it because he was forced into letting you go. Airborne does not have to pay it because you were employed by the subcontractor.