Here's the Nokia E75 insert SIM card problem solution. This shows the connection line paths of the SIM card circuit of the E75.
This solution may help fix for hardware problem issues which cannot detect any working SIM card being inserted to it. To fix this problem you may first try to update the device firmware. There are SIM card error problem that caused by a corrupted or interrupted firmware. If any software calibration doesn't fix the problem, refer to the solution below and do have a test and check up procedures.
Nokia E75 SIM Card Connection Line Paths
You may trace each of the SIM card pin connectors down to each corresponding capacitors. Check the SIM supply voltage (VSIM) for about about 2.9 volts on the corresponding capacitors and VSIM pin connector.All the SIM data signal is feeds to and from the AVILMA IC, there is a possibility that the SIM error problem is caused by a faulty AVILMA chip, reworking or replacing it will only fix the problem.
A Problem with sim and offline mode on E75 like, The phone goes into an offline state and indicates "insert simcard". The screen goes white and flickers and the buttons gets unresponsive. Sometimes, but not always, then you will opted to restart the phone to an offline mode and manually go online.
This problem can be fix by firmware update.