First of all, welcome to EQ. It's a little intimidating at first, especially cause games just aren't made the same way anymore, but it shouldn't be too hard to get the basics.
To answer your questions:
1. To talk to NPCs, you have to hail them using the 'h' key. If they have anything to say to you, they'll say it back in /say with pertinent information marked out in [brackets].... The brackets are your cue to ask questions for more information, so in this case, you'd try saying "What brackets". Essentially, you have a conversation with the NPC to find out what they need. There are few, if any, level restrictions on quests, so just because someone tells you to go out and do something doesn't mean you'll be able to do it any time soon.
2. As a druid, the first 8 levels are gonna be pretty slow regenning mana. At level 8, you get meditate, which'll help out your regen speed while you sit. Until then, you're stuck sitting without it. /sit whenever you want to regen health or mana, it's not that much faster, but every little bit helps. When you get 8 and can meditate, nothing changes: you keep sitting to regen mana, but meditate will at least speed it up.
3. There aren't many maps in game. If there is one, you can hit the 'm' key to open the in-game map. Otherwise, there are some really useful resources on the internet... For maps, my favourite always was
EQ atlas.
4. As for armor, it's probably worth it to buy at least the basics to start with, meaning a chestpiece, helm, leggings, sleeves, etc. Try to fill in the remainder as you go, but personally, I've always thought spells were more important, so make sure you save some up for them as well. Others may disagree, especially at lower levels.
5. You get 5 training points per level. Personally, I prefer to save them up in order to spend them on new abilities as they become available, or bringing abilities I haven't used in a while up to speed. Again, this is up to personal preference. Keep in mind that the higher an ability is trained, the more expensive it is to raise it using training points. It might be more efficient to simply cast a spell or use an ability over and over again in your downtime than to use your training points on it.
Another thing to look out for is that when you earn new abilities via leveling, you'll need to drop at least one training point in the ability to "get it going" and officially learn the ability.
No, there is no way to 're-spec' your training points. I wouldn't spend them in casting or combat stats at your level. They should level fairly quickly by casting your spells and using your auto-attack.
Long story short about training points: I wouldn't worry about 'em right now.
Another tip for you at your level: I see you've found the 'con' system, but if you're unaware, "What would you like your tombstone to say?" in all red means that the mob is very tough and very likely out of your league. You can consider or 'con' things using the 'c' key. Ideally, you'll be killing things that are blue and white to you when you're alone, and maybe some yellow things if you have a buddy to back you up.
Hopefully this'll help you out a little bit and clear some things up. I just started on this server as well after being away from EQ for a long, long time. Feel free to send me a tell in-game on my bard, Adakir, if you have any other questions.
Hope to see you in game!
[edit: 3 AM spelling mistakes]