You are in the middle of learning some hard lessons about batteries, solar, and dealers.
First: You have a 12 volt compressor fridge. Routinely, they eat
at least 35 amp hours (AH) per day. As luck would have it and others have mentioned, the dealer probably installed the bare minimum (every word of this is important) "Group 24 lead acid marine battery." A group 24 can be laughingly rated for 80 AH, but most are really, truly about 70 AH. In the world of lead acid batteries, you get to use half...35 AH...which your fridge eagerly consumed on day 1...it probably ate significantly more than that as it cooled itself off.
Second: You have solar. If it came with "factory" solar, it won't be much. For giggles, let's assume you have 200 watts of solar on the roof. During the peak sun of the day - from roughly 10:30 AM to 2:30 PM - in full sun, your solar can produce as much as 10 AH/hour...40 AH peak. If it's a nice day, you might get another 30 AH out of it in June...under perfect conditions. Meanwhile, that fridge is inhaling 35+ AH, and your battery can't hold much more than that in usable power. So
IN THEORY your solar might/oughta keep up kinda sorta. Overnight's another story, however, and that fridge just keeps sucking power, night and day.
Now some unpleasant news. You have a nice new rig. But it's an economy rig all the way. You didn't buy the Taj Mahal of RVs, so I imagine my assumptions are all correct: Group 24 battery, 200 watts of solar if you're lucky (perhaps just 100), and lots of other loads to consider. That's not a criticism. I have an "inexpensive" rig, too. That's how many of us roll.
One of those loads is called "parasitic loads". Parasitic loads suck power all the time, and you can't turn them off. Top of the list are the Carbon Monoxide and Propane detectors. Parasitic loads eat about 3 AH per day...every day, all day. That's 10% of your battery every day. In your 4 days, the parasitic loads alone ate 12 AH.
So, the big questions?
1) How ya gonna camp? Boondock or RV park? Parks with hookups are nice, but for many of us, that ain't campin'.
Not that there's anything wrong with that.
2) How long do you want to boondock (if you do)?
When you're home, regardless of the answers to those questions, always, Always, ALWAYS plug into shore power or shutoff the fridge. Then the solar can keep up.
If you're gonna camp in RV parks, your battery and your tow vehicle supplying power will keep your fridge cold until you get there. FIRST THINGS FIRST WHEN YOU ARRIVE...BEFORE YOU UNHITCH...PLUG INTO SHORE POWER. Then run the tongue jack and so on...or at least leave the tow vehicle (TV) hooked up to the rig to supply some of the power the tongue jack requires. (I'll bet you ran your tongue jack after disconnecting in the driveway...am I right?
)
If you're gonna boondock, you have work to do. You need lots more solar, lots more battery and, wait for it, a generator to take up the slack. Prepare to drop about $2K on your rig and another $700 +/- on a decent generator.
I have 400 watts of solar on my roof, 200 watts of suitcase solar, two 6-volt golf cart batteries (GC-2s) in series on my tongue able to deliver 115 USABLE AH, and I have an absorption fridge that runs on propane. When I bought my GC-2s, LiFePo4 (lithium) batteries were about a Kilobuck per 100 AH rated...80 AH usable. But today, lithium batteries are "cheap" by comparison, and I would buy Lithium today. I also have a decent genny, which I use when the weather stinks.
Other lessons you may soon learn:
A) Freshwater tanks are notorious for falling out of inexpensive rigs unless they are reinforced. Gonna boondock? You're gonna need fresh water.
B) Blackwater tanks can fill frightfully quickly.
C) Greywater tanks fill incredibly quickly...scary quick. But in the boonies, you can water trees with grey water.
D) You're gonna need to learn to be a good handyman to keep that rig together...it's a long list.
E) Start shopping for a replacement mattress. You'll probably need it by the end of your first season.
A rule of thumb. MOST RVs are assembled to be used in RV parks...not for boondocking. Even the ones designed for boondocking are woefully inadequate to the task unless you get the more specialized rigs that are truly built for boondocking. (Think $60,000 and up.) But the good news is that you can equip your rig for boondocking for under about $3000, and then you will be truly happy with it, and it will serve you well.
BTW, it ain't hard. I was 71 when I installed the solar on my roof. Since you already have some up there, you can probably upgrade to about 400 watts total by tying into what's already there. But you're gonna need