I am not sure what "Thought it might be the battery" means. The battery blew the fuse? The battery was dead?
The fuses may have blown due to arcing when you disconnected or reconnected the battery leads. Make sure the connectors do not touch anything when you remove and replace. Many people remove one connector and immediately wrap it to prevent accidental arcing. Then wrap the other when it is removed.
Both the battery and the converter/charger (if plugged in) can provide high current.
I have two fuses there. One is a 30 amp. The other is a 40 amp reverse polarity fuse. Yours may be similar but for a larger converter/charger.
You can tell battery state of charge by measuring the voltage at the battery terminals. Static voltage is when there is no discharge and there has been no charging for 4 hours. 13.0 volts static is fully charged. 11.4 static is fully discharged. 12.2 is 50%
Always store the battery fully charged. Fully charged means 14 to 18 hours on an appropriate sized regulated charger. Storing less than fully charged causes sulfate crystals to build up on the plates. The deeper the discharge and the longer time, the larger the crystals become. The more crystal build up, the more capacity is lost.
I recharge on return from a trip. My AGM's show 13.0 volts after resting for a while. They hold that static voltage for several months so I do not trickle charge them.
Battery University https://batteryuniversity.com/
How does the Lead Acid Battery Work?
https://batteryuniversity.com/learn/...ased_batteries
Charging lead acid batteries
https://batteryuniversity.com/learn/...d_acid_battery
How to Charge and When to Charge?
https://batteryuniversity.com/learn/...o_charge_table
How to Store Batteries
https://batteryuniversity.com/learn/...tore_batteries
Summary of Do’s and Don’ts
https://batteryuniversity.com/learn/..._battery_table
How to Measure State-of-charge
https://batteryuniversity.com/learn/...tate_of_charge
I wish you good luck and happy trails ahead!
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