One other point/thought - replace those 11 year old tires (especially if they're not holding air). General rule of thumb is to replace tires that are 10 years old or older due to the rubber decomposing due to environmental exposure. Replace them with a set of high performance all season tires (Michelin Pilot Sport A/S4 and Continental ExtremeContact DWS are favorites around here) which will be great performance tires in warmer weather but remain quite sticky/pliant in colder weather.
https://www.discounttire.com/learn/tire-aging#:~:text=Any%20tire%20over%20ten%20years,aged %2010%20years%20or%20older.