Most folks find it helpful to separate out consumables (food, water, fuel) from everything else, since the weight of consumables will be changing during the trip, and will also vary depending on length of trip. Subtracting food, water, and fuel it looks like the 'base weight' of what you have listed is about 20#, rather than 28#.
Except there's a lot of things missing from your list. No packed clothing, for example, which should include rain gear, some sort of insulation layer, and prob. a number of other things. Based on the rest of your list, it would be surprising if this is less than 2#.
You will also need some way of carrying water, and some way to treat it. And don't forget a first aid kit, and the other 'ten essentials'.
Taken all together, this means your actual base weight prob. *will* be close to 28#.
Your bag, pad, and tent *are* heavy, but could be manageable to get started IF you are careful about leaving out anything non-essential. That definitely means ditching the 3# axe.
In the meantime, keep poking around this site. There are a lot of ways to get a nice light pack (which makes hiking much more comfortable and enjoyable, in my experience) *without* spending a whole lot of money.
>edited for typos