My (23F) boyfriend (24M) lied about when he went to sleep after being on Discord all night. Am I overthinking?

My boyfriend (24M) and I (23F) have been officially together for 3 months, and while things are good, there are a few things that have been making me feel increasingly anxious and confused.

A few nights ago, I noticed that he was continuously online on mobile Discord from 1:50 a.m. to 4:40 a.m. That same evening, I had plans to go see a movie, and before I left, he asked me three separate times what time the movie was starting. At the time, I didn’t think much of it—but in hindsight, it feels like he was trying to make sure I’d be unavailable for a while. The next morning, when I called him, I casually asked him, “Did you sleep well? What time did you go to bed?” He hesitantly said, “late.” When I followed up with, “how late?”, he said “around 2 or 3.” But I had clearly seen that he was still online much later, so I knew that wasn’t true. This really made me uneasy. I know mobile Discord typically shows you as offline after just a couple of minutes of inactivity. So if he stayed online for hours, I can’t help but wonder if he ws chatting or on a call with someone the whole time.

That’s not the only thing that’s made me uneasy. He’s told me he “fell asleep” in the past when I’m pretty sure he hadn’t (this has happened about three times). I also saw him delete a message on WhatsApp—I didn’t see what it said, just that he erased something. He also always takes his phone with him when he goes to the bathroom or shower.

At the same time, he’s introduced me to his friends and occasionally shows me funny stuff on his phone, so I don’t want to jump to conclusions. But the inconsistencies and secretive behavior, even if they seem small on the surface, have started to build up in my mind.

Am I overthinking all of this? Or are these reasonable concerns?

TL;DR: My boyfriend was online on mobile Discord from 1:50 to 4:40 a.m., but told me he went to bed around 2 or 3. He also asked me three times what time my movie was that night.
He’s told small lies like “I fell asleep” before (2–3 times), deletes messages on WhatsApp, and always takes his phone to the bathroom.
He also introduces me to his friends and shows me things on his phone, so I’m conflicted. I don’t have solid proof of anything, but these patterns are making me feel anxious and unsure. Am I overthinking?