Skill Discussions

For training a new character such as myself, What are the most common core skills
everyone should train

https://wiki.eveuniversity.org/Basic_skills You need most of these basic skills sooner or later when you want to fly ships in EVE.
https://wiki.eveuniversity.org/Support_Skills Most carrers in EVE profit from good support skills.

But everything depents a lot on what you want to do:
- If explorations is your thing the scanning skills should be trained further for excample.
- If you want to do PVE in highsec battleships are one good way to do it. PVE in low or nullsec? Cruisers have a better risk vs. award ratio here (for new players in not totaly secure null at least).
- PVP in Faction War is mostly Frigattes and Destoyers
- A lot Logistics pilots (The "Healers of EVE") aim for T2 Cruisers
- All industry related pathes have their own skillset (Mining, PI, Trade, Invention, Production)

Since you are an Amarrian, I recommend focusing on Armor, Drone, Gunnery, and capacitor related skills due to an Amarrian friend of mine who can be a one man army given the right ship and enough drones. I would also focus on doing some trade, industry, and social skills on the side because if you ever get kidnapped by an alliance, make sure you can buy and sell your ars off. The hacking and archeaology skill is a must to up though if you want to do data and relic sites.

I recommend maxing out all skills you can before going omega, and have a training clone stashed someplace that has some serious +2 implants.