These are the specs:
I've had the laptop for 8 days. I bought it brand new. Premiere worked just fine for a few days, then was glitchy for 2, and now when I edited our vlog last night it was just fine. I don't know what the deal is. I don't pre-render, don't know how, but I'll have to figure it out if it helps. I had Sony Vegas for month, but the trial ran out. I don't have the extra money to buy the program. As it is I'm subscribing to Premiere through Adobe for 20 bucks a months. It's the only way I can afford it.
That processor is actually a very low end CPU, where I work, we actually avoid selling any laptops to customers that have the new Celerons as they're not even entry level (older celerons a few years ago were beasts, these new 1s are intel's weaker budged versions). Your issue may be intermittent because of the type of videos you're editing at the time you're experience the lag as well as different background tasks that may also be running.
Pre-rendering is not advised as it A) increases your time B) has to be redone every time you add an effect (sound effects, video effects, text etc...) and C) will use up storage on your hard drive and if you forget to delete the rendered footage it will remain there until you do.
First thing you want to do is change your laptop to "Performance Mode" in the power settings I advise only using this when you're running off the mains and not the battery. I don't think it will help too much.
What I also need to know is when you're editing footage on the Premiere timeline is the render bar red or yellow?
To save some time I'll recommend 2 things to try:
First thing is the cuda hack. This basically disables the file that tells Premiere which graphics cards it "should" support and tricks it into thinking your GPU is a supported 1.
1) The easiest way is to go to your (C

drive and in the search type "cuda_supported_cards" it's a .txt file so you can add ".txt" if that helps. Otherwise the common directory is: C:\Program Files\Adobe\Adobe Premiere Pro CS6
2) rename the file to "cuda_supported_cards backup" or anything you want really just don't delete it in case you may need it (although it is sort of a redundant file, some people choose to delete it).
3) then in Premiere Pro, open your project, then in the menu bar click on Project > Project Settings > General... and make sure it's set to "Mercury Playback Engine GPU Acceleration (CUDA)"
Afterwards you shouldn't notice the render bar turning red anymore unless you've used a heavy effect but even something as simple as adding text should no longer turn up as red.
Second thing is a trick I like to use even on a high-ish end system. This is using handbrake to create a "draft" copy of your raw footage and downgrading the quality and even resolution to reduce strain on the system.
Easiest way is to follow this video:
www.youtube.com/watch?v=0eYHsoaVUvk I didn't make it, but I'd advise using Handbrake as it not only helps with conversion but has even repaired somewhat damaged videos for me in the past. It's not that hard to use when you get the hang of it, or you can follow the video tutorial but I recall using that freemake video thingy in the past and it came with software I didn't want and just felt dodgy to me lol
This method is probably by far the most handy for any scale of system because previews in PPCS6 are usually watched in their smallest form for a good portion of editing (unless you have dual monitors but even then...) so I like to halve the resolution or even go lower than that, edit what I need then put the original raw file back in when exporting. I can edit 60fps footage so smoothly with as many effect as I want without the playback preview lagging on me anymore.
Let me know if that helps but to be honest I don't expect that CPU to last very long. I would have suggested you an i5 laptop minimum and you can get those easily under $600-700AU now days.