The Diamondback model suspension fork which will be of lousy quality, it will weight a lot, cannot act fact enough to be truly and off road fork, and won't last long, a replacement quality fork will cost you nearly as much as you paid for the bike. In addition to that cheap suspensions forks, and good ones too but not as much, requires a lot more watts, ie more energy to propel the bike forward, than a rigid fork, and since you will only being doing light trails you have NO NEED for a suspension fork! Really the only type of riding a suspension fork is good for is fast down hill technical riding. I use to live in California and rode many mountain trails and all I rode was a rigid mountain bike, meaning no front or rear suspension, and I was able to keep up with guys who had suspension forks. So toss the Diamondback away.
So you're probably wondering if what I said is true why does the vast majority of mountain bikes have suspension forks? it's because they are marketing those bikes toward the male population mostly, and a suspension fork looks macho, it looks manly, and people that buy those bikes for under $500 don't have a clue about bikes anyways! There are fat tire bikes with rigid forks at that price but those are very heavy a that price, and takes a lot wattage to propel a fat tire bike like it does for a suspension fork.
So that leaves you with the Specialized that has a rigid fork, these types of bikes are known as hybrid bikes and not mountain bikes, so you need to fine tune your shopping toward hybrid.
You can get a slightly better component package over the Specialized if you look at the Diamondback Insight 2, it comes with the next step up from Shimano Tourney (the bottom of the line derailleurs) to Altus, and trust me Altus works a lot better, there is a day and night difference between those two!
Other options is the Raleigh Cadent 2, Fuji Crosstown 2.3, for about $100 more there is the Cannondale Quick (great frame but Shimano Tourney stuff that can be inexpensively replaced when they fail), and the Trek Verve 1 disk.