I assume Eze's handler is a Fed. It's become another trope that only a Fed could ever be that much of a dick. Plus it's hard to imagine a local cop ever cutting a deal with a cop killer whereas Hollywood would have you believe the Feds do it all the time, much to the dismay of local police forces.
Well, they do acknowledge that his sentence was shortened, and that it "checks out", plus he has his brother vouching for him. I imagine that Jax & Opie had a pretty smooth ride through the vetting process for SAMCRO. There is also the added credibility from killing the cop. That's a thing among the criminal community, and as you say, it's very unlikely that they would actually use or trust such a convict for undercover stuff.
OTOH, SoA wasn't all that tight with kids' ages. Abel grew a LOT, considering he was still an infant at the end of the first three seasons, and is a sentient toddler who can take direction at the beginning of the fourth, as the gang gets out after serving their 14 months. And by the last season, he's talking and comprehends Gemma's soliloquies enough to understand what she was talking about, to act out because of it and make Jax understand what he overheard. The final dissolution of the Teller-Morrow family comes about because Abel has sufficient communication skills to grasp and consciously reveal its ultimate secret. And IIRC, Thomas (conceived while Abel was an infant) is still a baby, so Abel can't be more than two.
"Sometimes unhinged, sometimes unfair, always entertaining"
- The Crownless
“Tolerance is the virtue of the man without convictions.” GK Chesteron
Deus Vult!