Get other parts of my private key

It really depends on how much private key is missing. Each missing byte increases the search space by a factor of 256. Assume that one million keys can be searched every second (a reasonable approximation for a modern CPU utilizing all cores running an optimized search algorithm).

• 4 missing bytes, 2³² = 4,294,967,296 keys, takes about 1 hour to search
• 5 missing bytes, 2⁴⁰ = 1,099,511,627,776 keys, takes about 12 days to search
• 6 missing bytes, 2⁴⁸ = 281,474,976,710,656 keys, takes about 8 years to search

As you can see, the chances of recovering the remaining keys within a reasonable period of time drop very quickly. If you have more funds to recover, you can of course use them to acquire more computing power, but even a 256x increase still only offsets one missing byte.