Need help on my 2003 325i 5sp

[John.23]

So I recently purchased my first Bmw 325i 5sp with no check engine after 3 days of use "service engine soon" light comes on with shaking at idle when driving it goes away , also I'm experiencing reduced speed , I've got the codes not sure what to do first


P0714,P0313,P0300,P01345,P1347,P1343,P0444,P0171,P 0313,P0300,P1348,and P1350

All in that order I need help what should I do first seems like a lot of trouble , someone told me it could easily be a vacuum leak but who's know thanks in advance .

[MIKYZZ4]

Now that you have taken note of the codes, clear them.
Some may be old codes, stored in memory.
All except a couple are misfire codes.
Take it for a drive cycle after clearing, or until the SES light returns, and perform a new, clean, scan.
I also suspect an intake leak. Post up new codes as they reappear.