Let's put it this way, if Koenig and Carter were your pilots, you'd better be wearing a space suit.
The excellent "Space 1999 Catacombs" site has got your answers.
Eagle losses were high: at least 24 Eagles were destroyed or lost. Eagle 1 had a high casualty rate: Black Sun (destroyed), Missing Link (crashed), Space Brain (crushed), Dragon's Domain (left docked to Ultra probe), The Metamorph (left on Psychon), The Seance Spectre (crashed on Tora), Devil's Planet (crashed on Entra) and The Immunity Syndrome (disintegrated on planet surface).
Twelve Eagles suffer crashes (four of them are Eagle 1). Most are on the lunar surface; just three are on alien planets (Tora, Ellna and the Immunity Syndrome planet). Eagles always crash from right to left. Explosions and fire are rare, but common in atmospheres (logically).
John Koenig has 7 Eagle crashes on his record; Alan Carter has 4 crashes (2 as copilot to Koenig). In addition, an alternate Koenig and Alan were killed in an Eagle crash in Another Time, Another Place.