Beginner list for a dummy

I'm going to try to learn how to play and have done a little bit of research. I'll be learning mostly classic rock stuff and was wondering if this'll be everything I need without breaking the bank. This should cover the basics, but is there anything else that's absolutely necessary that I'm missing?

I can send links in the comments if needed.

Is a tuner necessary or would I be able some to just tune by ear? If not, what are some cheap-ish tuners I should look into?

What are some recommendations for picks?

I'll look into pedals and other peripherals later on down the road. Is there anything else I'm missing?

Thanks in advance.

Guitar and amp combo:

Glarry GST Electric Guitar w/ Amplifier set

Strings:

I've also heard the strings on these Glarry's feel and sound pretty cheap, and since I'll be playing mostly classic rock, I've seen people saying that Ernie Ball pure nickel strings will work well for that, but I'm a newb, so I have no idea.