> bsf PORTA,3
> bsf PORTA,5

Try

bsf LATA,3
*
bsf LATA,5

* if this was a non-18F PIC, a delay or nop(s) to separate the two
instructions in time depending on PIC speed and external connection

Problem you have sounds like classic read-modify-write. Or rather,
this used to be the case on non-18F when PORT was both output
and also the status of the pin itself. LAT for output addresses that
problem and a delay will probably not be necessary. 18F PORTx
is best reserved for reading inputs

As for the problem showing up now, it's likely that a silicon revision
has somehow highlighted your use of PORT as an output

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