The VMON inputs need to be protected according to the voltage limits mentioned in the datasheet (<5.9V). This information is contained in the Recommended Operating Conditions table (Page 5 of the POWR1014/A datasheet) http://www.latticesemi.com/documents/DS1014.pdf . These inputs have a 65Kohm typical input impedance (page 6, Voltage Monitors table). The input current will be in the allowed limit as long as the voltage levels are within the allowed limits. For advice on protecting the pins to these levels, refer to application note AN6041 for more details: http://www.latticesemi.com/lit/docs/appnotes/pac/an6041.pdf
For the digital inputs, the voltage level must be protected according to the datasheet limit of < 5.5V (page 5, Recommended Operating Conditions in POWR1014/A datasheet). The input currents should be kept below 100 uA per pin as a general rule.