P2066 relates to a fuel sensor level:
chrysler error code p2066 Google Search
P0404 relates to an EGR fault (Exhaust gas Recycler). You may be able to clean the EGR:
chrysler error code p2066 Google Search
Whether this is causing your battery to drain isn't clear - there are other causes of batteries discharging, such as burnt out diodes in the alternator.
Treat it as 3 faults - try and rectify the 2 error codes first (disconnect the car battery whe not in use to prevent it draining) .. and then look at the cause of the battery discharge
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