Hey guys thanks for all the replies. So here's my answers to your questions:
1.
PS.: is there a window on the shed? If yes then that's the easiest way in? No. There are no windows. Just two barn style wooden doors.
2.
Are you sure you want to spend 100 bucks on it? Wouldn't it serve you better to get another nicer hasp and a decent padlock? That means 1 good lock, 1 decent lock and 1 simple handle lock. That is in itself a bit of an overkill considering most burglars don't pick but cut/kick/break/maaaybeee drill. I would rather not spend $100. That's my maximum I might be willing to go. I'd rather stay under $50 but if there just isn't anything good I'm willing to go higher. I agree most thieves are going to try and brute force their way in and not pick the lock but I at least wanted to make it hard for them. Someone with a pick gun and 30 seconds could easily bypass the handle lock that's on it now.
3.
What is the shed built of? Wood? Metal? It's made of wood; however the building has laminate floors, ac/heat, insulation, and drywall inside (typical home stuff). I actually use it as a workshop and it's finished out inside better than some offices I've been in. The doors are 1/2" plywood on the outside and have that pink insulation inside and a 1/4" piece of plywood on the inside. Total, the doors are about 4" thick. I think they are framed using 2x4s. Granted it's not a solid wood door but it's not just a piece of 1/4" plywood either. Sure someone could just take a chainsaw and start cutting the door off but I'm not too worried about that.
4.
Not exactly what you asked for, but you might be interested: it is a handle but instead of having a keyway it accepts a padlock. That is a really good idea! I really like the Extra-Large Door Three-Point Latches which has side, top, and bottom latching points to even secure it more! It is at the limit of my budget but....maybe! It also accepts a padlock! Thanks Jacob!
5.
you've already done all you can with a hasp and Abus padlock (so long your abus padlock doesnt take a Schlage SC1 or Kwikset KW1 key and isn't made of anodized aluminum. They do not make high security locks or handles that fit that exact handle style you have for a wooden shed door.
get a camera on the house that points at the shed, that's the next best step. Is there anything cool in the shed or just rakes and pool toys? if there's something cool like a dirt bike or a nice lawn mower then you should run an Abus cable lock though the wheels to some sort of eyelet screwed into a large beam in the shed or some sort of eyelet screwed into the floor or into poured concrete, etc.
If they break into the shed, at least make them work for the items in the shed. The Abus lock I bought has the dimple style keys. They look trickier to pick than the old Master Lock I had. Here is the new bolt/hasp I installed on the outside.
I also failed to mention that I also have a self contained motion alarm inside. It has an external siren that I mounted in the attic. It's also wired directly into the ceiling electric so that even if they smash the control panel the siren keeps on blasting (it's very loud). It doesn't have a dialer or anything like that just something to wake me up or get the neighbors attention if I'm gone. Obviously with this much effort I'm trying to protect some stuff that would not be fun to replace (mostly power tools and misc gun stuff). In all reality the chance of someone breaking in is probably pretty low. I'm trying to find a balance of making it look "too hard" so any curious thieves will just skip me over. On the other hand, if I have too much visible security it might make them think I have a fortune in gold bars I'm trying to hide in there. You said it best, "at least make them work for the items in the shed". That's my plan. Make it so that it will be so hard and so noisy that they'll either skip it or give up.
