Please Help!! Prius is being funky with tons of issues

howdy y'all I've looked in the forums for weeks now and can't seem to find anything on this nor do I really know how to actually word this.
So my first issue is that after filling up my gas with basic unleaded on one bar left in tank my Prius was being really weird. Starting from the point I turned it on after fueling. when I started to accelerate by barely pressing the pedal, (lets note I'm on Eco mode 24/7) I was maybe going 4mph as I was in a parking lot, my Prius began to fully accelerate or like require a lot of acceleration to get to even 35. when I start driving it'll obviously be at 0 and to start going faster than 8mph it kicks right passed eco right passed the bar and straight into the orange power bar where I have to be until I reach desired speed. previously its been I can accelerate in eco until 35 then glide but even to the point of gliding when I can reach it (rarely) instead of being at the full 100mpg on the right side of the speedometer it stays at about the 20mpg portion of it. when I start the mpg drops to the lowest possible bar going at like 8mph, I wasted the tank and refilled with a high mileage fuel injection cleaner and performance helper from circle k before filling it up and its back to the same thing. this time seemingly worse as I only drove maybe 20 miles today to and from work and have already spent a quarter tank because of this issue. I have no idea where to start, the dealership said there was nothing wrong with it.
Stats--- 152210 miles on the car
last oil change was about 2000 miles ago
my next issue which is probably less complicated, my Prius has been veering to the right a lot. when I stop at a light my steering wheel will lean to the right maybe about 35 degrees to the right, it like it just drops and defaults which makes driving anywhere a hassle as I'm constantly holding the steering wheel more to the left so I don't run into a barrier.
third issue is the battery, as I'm driving I notice the battery meter on the right hand side of the hub will get charged and then drop to like 2 bars and it seems to be doing this constantly, it won't maintain a charge and it usually charges to two bars from the top and drops to 2 bars from the bottom
I live in Tucson so since its the summer the heat is usually 101+ and with the heavy rains this summer theres been some slightly deep puddles I've been forced to go through nothing ever to the bumper but enough for the tires to be about 3 inches in
please help on this as I really don't know what can even be the problem

 

maintenance wise I get oil changes, I had an alignment checked with my last change they said it was cool but who knows on that one now, other than that not really any maintenance. I did buy this car used at about 120000 miles on it from the dealership and has been good up until last week at the point of fueling up. I fueled up yesterday off empty with some cleaner and back at it again but this time now I seem to be losing fuel faster now and its going straight to the PWR portion of the bar for any take off, quarter way through the first eco half has me at about 20mpg going at about 28mph.
I drive a 2010, the battery as I've noticed now is charging and losing charge rather quickly it'll be charged for about 2 minutes then drop immediately back down like I mentioned before

 

and what am I looking for exactly to see if its 2009-2010 or something newer? this is my first car so I don't actually know what I should be looking for

 

thank you much and I appologixe about the late response. been hectic. so I've since seen 3 mechanics. all codes read okay, went to dealer and 2 hybrid specialists, had great expirirneces at the specialist not so much the dealer (go figure) all codes read good, I went through another tank of gas since filling it up Monday and used the seafood brand multipurpose cleaner before fueling, ran okay for a bit still getting the same issues. I'm guessing its the battery, it fluctuates on the hybrid system indicator. it gets charged and drops and charging is slowly, I attempted to take a look at the battery year and was reluctant to find anything so thats still up in the air. as far as maintenance the shops checked the oil, transmission, and everything else. one even fixed the noise I was getting. turns out the dealership last time I went for my recall on the airbags had plugged something to deal with the condensation. when the shop owner informed me he let me see what he was doing and out came about 4 liters of just water basically pissing out the bottom. so all in all I'm guessing the battery is on its way out, at this point it may be in my best interest to just start looking to getting a newer model

 

I've got an appointment in about an hour with the stealership to run diognostics on the battery. 130 for something like that is crazy!