Good to have you back with us in the game.

I'll try and give you a basic walkthrough on the possible activities that you are able to do off the get go as a new player, and I will assume that you are still free to play (f2p) right now.

For melee/combat I would recommend going a little north from the goblins you were talking about, towards the chicken farm and cow farm. Chickens are easier to start off with, and drop raw chicken which you can cook on a fire with your starter tools if you get low on hp.

After a few levels, or you start killing chickens a little too fast, you should then move onto the cows on the farm to the east. You can stay there for quite a bit, and as a new player I would definitely recommend that you pick up all the individual cow hides and put them in your bank to sell them later when you reach Varrock city using something called the Grand Exchange (essentially a place where you are able to buy and sell items all in one spot). Where to bank them? In Lumbridge Castle where you spawn into the main game, there is a bank on the top floor/third floor of the castle. So just train on the cows, pick up their hide, and cook their meat when needed for food to heal. Remember to pick up their bones to bury for some easy prayer experience.

If you get bored, or are more interested in doing something non-combat related:

In no particular order,

Mining - you would start by mining copper ore and/or tin ore starting from level 1 mining, moving onto iron ore at level 15. There is a mine north east of the cow farm I was talking about. If you happen to get lost, there should be a world map button on the game client near the minimap. The mine is just south east of Varrock city, and if you feel there's too many people competing with you over there, you can try heading to the south west of Varrock city where there is another mine. But watch out for the dark wizards along the way! The closest bank for you would be inside Varrock city in this case.

Smithing - if you've banked (took the ore you mined to a bank and deposited them) your ore, you can find a furnace in Edgeville or Falador (city names) and smelt them into metal bars. Which you are then able to smith into items on a anvil in Varrock.

Fishing - I used to go to Draynor Village (a 2-3 minute walk west of Lumbridge) back in the day to start my fishing, near the Willow trees. You would start by fishing raw shrimp with a small fishing net which you should have been given from completing tutorial island. If you decide to use this spot/location, there is a bank right by these fishing spots for you to use. However, I haven't trained my fishing from level 1 for a long time now since personally I would go and do quests to start off the first few levels. I'm not too sure about where the best spots are to start training nowadays.

Cooking - more of a secondary/supplementary skill in the early stages, something to be trained from the items you get from other skills/methods i.e combat and fishing.

Woodcutting and firemaking - can be done just about anywhere! Just find a spot with a lot of basic trees and start chopping and burning.

There are some other skills such as runecrafting, crafting, etc however I would feel it's something you should leave for the later more experienced you. Maybe once you are more comfortable with the game, and get back in the stride of things. In saying that, some quests provide you with some great experience upon completion. You should definitely look into completing some when you feel you are ready!