If most of the daughter element dissipates, won't samples date much older than they should?
No, in the rarely-used-today simplistic methods such as K-Ar, they will date much younger than they really are. In the more sophisticated methods either no date will be produced or the correct date will be produced.
And isn't it impossible to determine that hasn't happened?
No, the most widely used methods such as Ar-Ar and U-Pb detect that occurrence and often produce a valid date anyway.
And even if that problem were solved, if decay rates were greater in the past, won't samples again date much older than they should? And isn't it impossible to know past decay rates?
It is not impossible to know past decay rates. Radiometric decay depends on the most fundamental properties of the Universe, and any significant change at any time after the first microsecond or so after the big bang would be detectable in other measurements.
If decay were accelerated enough to fit a YEC time frame there would be subtle traces left. There would be no water left, the surface of the Earth would be molten, and there would be no life other than possible some thermophilic bacteria.
Edited by JonF, : No reason given.