This my major concern with biometrics and DNA databases. It makes the cops lazy. "Subjects fingerprints and DNA was found on the crime scene, so he's clearly the murderer". That flips the evidence around, suddenly "I" have to prove I'm innocent as opposed to the law proving I'm guilty.

If you can simply collect all DNA and fingerprints from a crime scene, look it up in a database and compile a list of suspects, it also eliminates the possibility that the real perpetrator didn't leave DNA or fingerprints.

Sure, DNA has its use, like "here's the murder weapon, and it has the suspects DNA and fingerprints on it". It's not a guarantee, but it's a closer match.

As for "does that happen in Europe as well", unfortunately yes. There have been cases where the police have found fingerprints and DNA and announced they had the suspect they were looking for, only for said person to be cleared weeks or months later.

As a general rule, DNA and fingerprints cannot be the sole evidence in EU courts. The law will need find more evidence before they can convict you. Also, no death penalty, and "lifetime" in the EU is usually around 10 years, so not a lot of people are found innocent after 30 years.