What's going on with my fishless cycle?

I'm currently in the process of cycling my 5 gallon tank. Or at least, I'm trying to, but the water parameters have me really confused!

Alright here's what I got when I just tested.

Ammonia: 1ppm (I'm following the directions, but it never brings it up to 4ppm like it's suppose to, even after waiting at least 30min after adding it)

Nitrite: 0ppm

Nitrate: 10ppm

pH: 8.4-8.8

And now a little about my set up. It's 5 gallons, I have a filter (the water level is low, so the filter splashes and creates oxygen for the bacteria) I've added a heater (it's at 75 F, it's automatic and won't go higher) and I also have filter media on the bottom and in my filter from my previously established tanks, along with an ornament. it's been set up like this for about 2 weeks.

Now, from what I understand cycling is supposed to go from Ammonia to a LOT of Nitrite then to a LOT of Nitrite and Nitrate, then you do a massive water change, and if your tank can cycle 4ppm of Ammonia in 12-24hrs, you're good to go!

So onto the questions! Why don't I have any Nitrite?! I shouldn't have Nitrate and no Nitrite, right? Why is my Ammonia already cycling so fast? It doesn't feel like it's been long enough for the Ammonia to ever reach 0ppm (which it has) when I've been adding pure Ammonia every day. And will my pH go down eventually?

If anyone could tell me what's going on or if my cycle has stalled or something, I'd greatly appreciate it.