Hello to everyone, Im Rey friends call me RmR, I daily a 2001 XC70 Auto 136k miles, Looking forward to getting some recommended, parts, fluids, etc

I do have a question to start off my posting on here, So I have been running into an issues where, I drive my car when its warm outside its fine turns on fine no issue, I always warm up before driving and after for cool down. Somehow, now that the temp has dropped a little in my area my car is having issues cutting on sometimes, it will crank for a long time and unless i give it heavy amounts of gas and try 4-10 times it might cut on, other times it goes into immobilizer mode and i have to unplug battery or reset lock 5x. I've been doing research and don't know if it could be a key issue, ECM, or Gas issue, even looking down the avenue of spark and coils, but when its on no stutters or turning off runs fine no misfire or jump in rpm.

Anyone else run into this specific issues i have read some that kind of sound like it but not enough detail for me to tell if its the same issue.

Thank you.