I'm sad you have an untrained counter, that sucks. They are given a booklet with all categories they can refer to when questions arise. I truly wasn't being snarky. As a general rule it is best to start a conversation with your counter to discuss why they credited something as they did. From there, you can argue dimensions, damage, time and such. If you are not getting credit for anything you think you should - make certain the counter documents the item(s) on the 4239 comment section to confirm you received them. From there, your office mgmt must contact district for a ruling. If denied, keep a count of items and contact your steward for when to file. Generally, you should have a daily list of items you requested but we're denied. At the end of count, when they give you the 4241a, you must write a disagreement letter to district. The letter contains the items you did not receive credit for. The 4241a has two places to sign. One is for you to agree and certify to the accuracy of count( never agree, there's always something they missed). The second is to guarantee your 2080 commitment.
I agree it's your money. Fight for it.
Edit: I know we all get a bit stressed at count time. For the first time since '96 I am not counting this year. I almost forced a count but I'm so close to walking...