Actually the suicide bombing on New Caprica was used against the police force the Cylons established consisting of humans loyal to them. Basically, Tigh sent a message that any human now working for the Cylons is considered an enemy of humanity.
Basically, Tigh was doing the work of the Cylon war machine for them in three ways:
1. By killing humans (as targets) - of which there are only some 30.000 left in total
2. By killing humans (by reducing them to "smart bombs") - including very skilled people like Viper pilots. The Raiders would like to thank Tigh.
3. By giving the most militant faction of Cylons more munition to simply use the nuke(s) - as they had done so often before - and end it.
Bravo Tigh. The guy, and everybody who worked with him on this to promote (or enforce, as it would happen in real life) this tactic, should have been shot for doing the work of the enemy.
What are you even talking about? Cain did not use civilian ships in suicide attacks. She stripped the civilian ships of any useful equipment, material, and components and abandoned them. She drafted anyone on them with skills needed as crew replacements on Pegasus. There were those who objected because they didn't want to abandon their families, so she ordered those families executed.
In the direct aftermath of the colonial apocalypse, Cain used the Pegasus to attack Cylon military installations, to strike back in any way possible (even though she knew Pegasus wasn't going to defeat the entire Cylon fleet by its lonesome). During one such attack, Pegasus walked into a Cylon trap and when her first officer insisted they should abort the attack (because it was becoming suicidal...) she shot him herself. The attack went on and the crew/pilots suffered severe losses. This was not represented in a favourable light, by the show.
On top of that, Cain did strip civilian vessels of equipment and personnel to keep Pegasus going, whereas Adama had made the choice (under the influence of Roslin, admittedly, as his first instict was to do more or less what Cain did) to try and save a part of humanity. This is understandable because Cain didn't have near the numbers that Adama had managed to get together (thanks to Roslin and to his friendly local Cylon infiltrator, ironically enough). However, it is still worth mentioning that Tigh also stripped the human colony and fleet of its human resources to use them literally as bombs. Even though New Caprica did have far more chances of survival than the few scattered ships that Pegasus encountered.
Cain certainly never used the Pegasus itself in a suicide attack. In fact, that was Lee Adama who did that liberating New Caprica.
See above. Lee Adama didn't do a suicide attack, he and everybody else on board survived it. Which is a bit of a cop-out considering it was under fire from several baseships while he was evacuating it, but sometimes characters had plot armour (like in any show).
It's clear you lost interest in the show, as you're not even remembering it correctly at all.
Remembrances can be coloured, yours are, too. Neither my nor your remembrance is necessarily "correct" in an objective way.
Don't get me wrong, NuBSG was a fantastic show from the miniseries through much of S2. But it suffered from its creators apparently lacking a clear (initial) vision past the Pegasus arc. Mysteries that they didn't know the answer too, shocks to be shocking. It was a shame.