I'm very much a rules guy myself, so I can understand where you're coming from. You don't give a lot of details here, so it's hard to tell whether the problem lies with the troop or with you. However, if you've only been on the job for two years and you've already ruffled the feathers of the entire troop, you might want to look at your methods. Some things that jumped out at me:
- 3 Eagle badges at one MB event: Depending on the badges in question, this could be doable. If the scouts have pre-reqs that must be completed in advance, then it's simply a matter of reviewing that work, covering other materials, and done. My son went into many such events with multiple pages of pre-req completions. No foul here.
- Camp directors signing off blue cards: Happens all the time at camp. Typical scenario is Friday night review of incompletes, scout presents evidence of completion, camp counselor not available, director signs off.
Now keep in mind I'm speaking from several years experience here. I don't know how long you've been in your position or how long you've been involved with your unit. However, in looking over the GtA, I see nothing that states it is your job to question the completion of requirements. Your job is to ensure a plan for advancement for the troop as a whole is progressing. If you see boys who aren't advancing, that's where you should be raising flags. Other than that, yours is mostly an administrative support role, not rules enforcement. If you see blatant problems, you should be working with the SM and CC, not going to parents (assumption here based on parental messaging to SM/CC).
If you have more concerns, I would definitely contact your District Advancement folks. They can provide greater support and more direct answers. Your Unit Commissioner should be able to answer questions, and you can carry on a conversation there that provides greater details than what you would probably want to post here.
In the meantime, I'd start looking at my methods. Is the issue you're looking at a "dotted I or crossed T", or is it a major omission? Is it the same scout all the time (perception issue here)? Is this really your problem to address, or should it be handled by the SM/CC?
1st ASM, 2010 NCAC Jambo Troop 521
WB NE-IV-216 Eagle, Beaded 17 June 2010
Unit Commissioner, Goose Creek District