Does this system have ssh key logon? If it does the read section 7.2.2 as this will solve the a) part of your question.
http://the.earth.li/~sgtatham/putty/0.60/htmldoc/Chapter7.html#plinkSo create a batch file currentState.bat that will read:
date /T>> report.txt
"plink login.example.com -l myUserName netstat -an | grep 1521" >> report.txt
"plink login.example.com -l myUserName df -k" >> report.txt
Create a job that will run this batch file every 10 seconds...