Chain doesn't move out of big ring

Hi all, So I'm trying to get back on the bike after maybe a year or so off it, and I've just realised that I can't move my chain into the small ring. I messed around with the limit screws to make sure if everything was in order, and it seems to be, but this hasn't helped at all. One thing I've noticed is that when the chain is on the big ring and smallest rear gear, the derailleur isn't parallel to the big ring. This seems to be true for all gears, and it's pretty noticeable.
I also attempted to turn the barrel adjuster but it doesn't seem to budge. Are there some steps I can take to potentially fix this, or do I need to turn towards a bike shop to get this fixed?
I also attempted to turn the barrel adjuster but it doesn't seem to budge. Are there some steps I can take to potentially fix this, or do I need to turn towards a bike shop to get this fixed?
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If the cable doesn't move freely or is damaged replace it. If the derailleur doesn't move freely give it a good clean.
Now get the installation instructions for your derailleur from the manufacturer's website. Set it up from scratch following the instructions. Now you know how to set up and adjust your front derailleur.
shifter
mech
cable
start st the easiest, end at the trickiest