First of all welcome. Secondly like marty said, forget bout the HoM. You can and will get some points by just playing the game, but most of it is a reward for long time dedication.
Second, you might want to look for a helpfull guild. when you go to lions arch you shouldn't have too much trouble finding one.
You didn't mention wich campaigns you got but lion's arch is a crossroad. All campaigns can be started and played at the same time. This however is somewhat confusing so best is to focus on only one at a time. On the other side it is a good plan to use your discovery of lion's arch to open up all campaigns you have the campaigns give you the following benefits on or shortly after arival.
Factions: the main town (kaineng center, you arrive there) gives access to max level armor and bout 80% of all regular skills in the campaign and alsmot all core skills. So having that town open is a big plus.
Nightfall: on arrival you get access to some low level heroes. Beside that the main town (Kamadan, you arrive there) functions as the marketplace in GW (GW doesn't have a marketplace or auction house, but traders made Kamadan the main trading hub. therefor it is also nicknamed Spamadan. To get to nightfall you need to do a small quest that can be difficult for a new player. so you might want to grab the benefits from eye of the north and factions first so your better armed for it. if still in need you can always sent me a pm on here (im in europe) with your ingame name and I come and help you as soon as I can.
Eye of the north. On arrival in boreal station you get 2 max level heroes (see my note bout heroes though). You can also buy max level armor here (as well as in factions, but the looks can be different). Beside that you get a hero-training quest (basicly explaining how to control hero's) that rewards a max level weapon. To get to this outpost you need a quest that is simple but you might want to check my not bout the wiki below. A bit further in (bout 2-3 groups you have to fight) you arrive at the outpost Eye of the north where also your Hall of Monuments (HoM) is. you get some points and items on arrival for GW2 and a third max level hero.
note bout heroes: Heroes can be very good and therefor you can pack your team full of heroes. However they are as good as you make them and you need to invest in them to make them really good. As yourself you need to get them skills, weapons and armor upgrades. at the point you are at right now in game you can make a difference by bringin one or two heroes (specially the max level ones from eye of the north) but the henchman are actually better, so take 1-2 of them to make them good and fill the rest of the group with henchman. The game can be completed with the use of only henchman (beside certain missions in nightfall). good heroes make it easier, but bad heroes make it harder.
note bout the wiki: when having difficulty you can always check the official wiki at
http://wiki.guildwars.com/wiki/Main_Page. You can also go there by typing /wiki in the game chat. the wiki has a lot of information bout quests and missions and gives lots of tips how to tackle them. For example the quest to go to Eye of the north starts of with a few low level enemy's you need to defeat, after a cutscene you are being attacked by very high level enemy's. The trick however is that you need to outrun them. the wiki will tell you this AND show you a map of the route to follow (so you might want to study that in advance).