C# update sql server 2008 table

Question

I have a question about a C# 2008 application that calls C# 2008 application by using  'Process exec_calc = new Process();'. Curretnly the first C# 2008 application creates output excel spreadsheets that are emailed out to customers.

  Now the first C# application will count the number of rows that are generated on the excel spreadsheet. The first program will insert a new row into a customer table that is setup by customer number and count in a sql server 2008 r2 database. Now the first program will call the second C# application and pass that program the customer number.

When the second C# program runs, it will obtain the customer number from the arguements that where passsed to it. Now the second C# program will read the Customer table to obtain the row that was inserted into the customer table by the first  C# program.

This process will continue until all of the customer records have been processed.

The second program will now call a web service with this information. This design needs to stay since 95% of the entire new design has been tested and works. This design will stay since it will make the code production ready within a few weeks.

My question is updating and accessing the customer table. Will I have any deadlock issues? Do I need to consider permission problem(s) and/or access problems that I need to consider? If so, what are the problems and what do I need to do to solve the problem(s)?