2 weeks ago
Task 1 : Unlock the second Warframe
Task 2 : Finish the quest "The Archwing"
Task 3 : Upgrade a weapon level 6
Now, should you do the tasks for this game ? Currently, I would say no, unless you want to give the game a try anyway. If you're in only for the gems, you should probably forget about it, at least for now. It seems to me that there was a mistake in the order of the tasks, that task 1 and 3 should be inverted.
First, a tip to move faster : Crouch then jump for a leap towards the direction you're aiming at. Keep doing that (also roll while in the air), and you'll go much faster. Still try to at least open the caches and gather the resources on your way though, you'll need it (and other players won't always rush that much, there's no point in leaving them behind. Sometimes it can even only slow things down).
Unlocking your first warframe will take time. Rhino being the easier one, but it will still take time. You have to craft the Rhino systems, chassis and neuroptics (that you need to farm on the boss "Jackal", on Venus), which all take 12 hours (fortunately, you can craft several things at once), and then crafting Rhino itself (blueprint to buy in the market with IG currency) will take 72 hours (3 days). You can speed up that last craft with the 50 platinium you get for free (premium money, although it can be exchanged, so full F2P is possible), BUT keep in mind platinium is valuable, so you will regret it if you end up deciding to keep playing Warframe.
Anyway, that's only for the crafting part, but before that you will have to unlock several planets, so that you can reach Phobos, where you can farm Plastids, needed for a Rhino part.
Unlocking a planet requires to clear the missions on the way to the junction to said planet, AND completing all the tasks the junction requires to be activated. Of course, it will be faster with other players than alone. Especially to farm the Rhino parts, you will have a lot of trouble there if you go alone and unprepared.
For task 2, well, the quest will be available long before you're done with task 1.
And for task 3, don't worry about the level of the weapons you carry, you can search in the market for other weapons to craft. There are some you can even buy right away. Write "mk1" in the search field for several weapons you can buy without having to craft anything.
FINALLY : I may answer some questions, but keep in mind that there's a Warframe Wiki, where you will be able to get many answers already.
Also, Warframe's community is one of the best I have ever seen, you can ask them too (still try to check the wiki first though). Just remember to be polite (people ain't your pet. Not that your pet deserves to be treated like **** either anyway), and to say "thanks" when they have been helpful (or even tried to be, but failed). Such things are the reasons why it makes sense for them to help others. Believe me, if everyone cared about that, there would be much more people helping others. Helping you.
Thank you for thinking about that ;)