yep (+1 to beers).
Practice clean too....its very unforgiving but very very good for your right hand.
start slow...there is your warm up. Concentrate on keeping all the parts of your hands and arms loose. Do a lot of arpeggios so you get smooth with skipping/swapping strings when alternating. Forget sweep and economy picking until you are totally solid with alternation and can play all your scales/arps like a piece of well oiled german machinery. After you can comfortably keep a constant stream of 8th notes going at whatever speed and in any key, then start looking at the other stuff.
You can get a lot heavier than 1.14. See if you can find some 2mms. A pointy tip like the ones on Dunlop Jazz III's are good for this too. You will feel awkward and clumsy for a long time and you will probably find that the pick rotates in your fingers, but it will make a huge difference in developing sensitivity and grip relaxation without rotating/dropping the pick. Stick with it for home practice and go back to whichever picks your like the tone of best for band practice and gigs.
The amount of progress you make is directly linked with how much practice you do. That's up to you. But if you do choose something to work on (eg. Phrygian dominant scale) try to practice it in all keys and in all positions of the fretboard.
One last thing....it will take time. Stay focused and disciplined and remember to give yourself a pat on the back for small but measurable improvements each day. Over the course of months and years you will notice big things.