With the help you below power shell script you check windows service's status and can restart, stop etc. even on remote servers.
[string]$computerName
## Create a log file
$LogFile = "E:\Logs\logs_"+(Get-Date).ToString('yyyy-MM-dd')+".txt"
## Count: 3
[string[]]$computerNames ="ServerName1", "ServerName2", "ServerName3"
try {
function LogWrite
{ param([string]$Message)
    ((Get-Date).ToString() +
" - " +
$Message) >>
$LogFile;
}
Write-Host "Execution started"
LogWrite -Message "Execution started";
  ForEach (
$computerName in
$computerNames ) {
    Write-Host "++++++++++++++++++++++++++++++++++++++++++++"
-ForegroundColor Magenta
    try {
$svc = get-service -Name "ServiceName" -computername $computerName
      #check if service’s
current status is stopped if yes then start it
     if ( $svc.Status -eq "Stopped")
{
          (Get-Service
-Name "ServiceName"
-Computername $computerName).Start();
           Write-Host
$computerName -NoNewline
         Write-Host
": the service has started successfully"
LogWrite -Message "$computerName : the service has started successfully"
         }
         else{
           Write-Host
$computerName -NoNewline
           Write-Host
": the service is already up and running"
LogWrite -Message "$computerName : the service is already up and running"
            }
}
        catch
{ 
        LogWrite
-Message "$computerName :
service reset failed- $_"
        Write-Host
": service start failed"
        Write-Host
"Error : $_"
}
     }
 Write-Host "Execution finished"
LogWrite -Message "Execution finished"
}
    catch {
        LogWrite
-Message "$computerName :
service reset failed- $_"
        Write-Host
": service start failed"
        Write-Host
"Error : $_"
         }