Yes,all the above conditions should be written as test 
cases.
For this type of applications we need to follow boundary 
value analysis and equivalance partitioning techniques.

The above answer is write but if we do so we have to
generate 1000 of test cases, but is not good practice.

Write one test cases for the above scenario and keep that
name as Field checking( name of the field).

Once written that test case. Now when you are executing the
test case execute that with all the above scenario values.
 Means for the same test case give input value as Special
character for first time, give input value as Alphanumerical
for second time and so on depending upon the requirement. 

But the input values entered should be noted down in the
excel sheet itself.  for this add  more column as input
value and enter the value for each column so that for the
same test case u can excute with multiple values.


This would save your time and all the input will be in one
place .

If anyone is having a better idea do share so that it would
be helpful.